Answer:
Step-by-step explanation:
given a point 
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form 
, the y intercept is b and the x intercept is 
.
So, in our case, the y intercept is 
and the x intercept is 
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph 
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at 
. Using the properties of derivatives, we get
. So evaluated at we get 
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height 
and base 
. So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
Answer:
A=2πrh+2πr^2
Step-by-step explanation:
If the pool has 18 married and 22 not married, this means there are 40 people total
this means there’s a 18/40 probability that people who are married will be chosen
18/40 = 2/5
There is a 22/40 probability people who are un married will be chosen
22/40 = 11/20
Answer: the surface area is 216cm
Step-by-step explanation:
Answer:
First, you want to get y by itself, so you will multiply by the reciprocal
(
3
/−2
)-2/-3 : (3/-2)-6
y=9 should be your answer. since there is no x value or "slope" your line will be straight.
Step-by-step explanation:
I have attached what your graph would look like. I hope this helps!!
